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arXiv · 1610.06443

Kinetic theory of discontinuous shear thickening

Hisao Hayakawa·Satoshi Takada
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Abstract

A simple kinetic theory to exhibit a discontinuous shear thickening (DST) is proposed. The model includes the collision integral and the friction from environment as well as a thermostat term characterized by $T_{\rm ex}$. The viscosity of this model is proportional to $\dot\gamma^2$ for large shear rate $\dot\gamma$, while it is Newtonian for low $\dot\gamma$. The emergence of the DST is enhanced for lower density and lower nonzero $T_{\rm ex}$.

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Hisao Hayakawa, Satoshi Takada. 2016-10-20. Kinetic theory of discontinuous shear thickening. https://doi.org/10.1051/epjconf%2F201714009003

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